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A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she might teach about the letter S or the letter U, but not the letter M. * Required 1. What letters are possible to teach using this method? (There are 15

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Answer:

15

Step-by-step explanation:

We find the union of the sets, one for each day.

Monday = {M, O, N, D, A, Y}

Tuesday = {T, U, E, S, D, A, Y}

Wednesday = {W, E, D, N, E, S, D, A, Y} = {W, E, D, N, S, A, Y}

Thursday = {T, H, U, R, S, D, A, Y}

Friday = {F, R, I, D, A, Y}

Saturday = {S, A, T, U, R, D, A, Y} = {S, A, T, U, R, D, Y}

Sunday = {S, U, N, D, A, Y}

Duplicates have been removed in each set.

The union is

Week = Monday ∪ Tuesday ∪ Wednesday ∪ Thursday ∪ Friday ∪ Saturday ∪ Sunday

Week = {M, O, N, D, A, Y} ∪ {T, U, E, S, D, A, Y} ∪ {W, E, D, N, S, A, Y} ∪ {T, H, U, R, S, D, A, Y} ∪ {F, R, I, D, A, Y} ∪ {S, A, T, U, R, D, Y} ∪ {S, U, N, D, A, Y}

Week = {M, O, N, D, A, Y, T, U, E, S, W, H, R, F, I}

(Duplicates are also removed)

The number of elements in Week is n(Week) = 15

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